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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV241-1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:21:09 PM UTC 2026

% Result   : Unsatisfiable 184.84s 138.34s
% Output   : CNFRefutation 185.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   77 (  24 unt;  21 nHn;  50 RR)
%            Number of literals    :  150 (  19 equ;  65 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   6 con; 0-5 aty)
%            Number of variables   :  196 (  37 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OpsubsetI_0,axiom,
    ( c_less(X1,X2,tc_set(X3))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).

cnf(cls_Set_OUNIV__I_0,axiom,
    c_in(X1,c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OUNIV__I_0) ).

cnf(cls_Set_OpsubsetE_0,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_0) ).

cnf(cls_Set_OemptyE_0,axiom,
    ~ c_in(X1,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OemptyE_0) ).

cnf(cls_Set_OInterI_0,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OInterI_0) ).

cnf(cls_SetInterval_OlessThan__iff__iff1_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OlessThan(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff1_0) ).

cnf(clsarity_set_1,axiom,
    class_Orderings_Oord(tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_set_1) ).

cnf(cls_Message_Oanalz__trans_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__trans_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).

cnf(cls_Relation_OImageI_0,axiom,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OImageI_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_Y,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Set_ODiffI_0,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffI_0) ).

cnf(cls_Set_ODiffE_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_0) ).

cnf(cls_Set_ODiffE_1,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_1) ).

cnf(cls_Set_Oempty__subsetI_0,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Oempty__subsetI_0) ).

cnf(cls_Relation_OImageE_0,axiom,
    ( c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4)
    | ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OImageE_0) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertE_0) ).

cnf(cls_SetInterval_OlessThan__iff__iff2_0,axiom,
    ( c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff2_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Set_OUNIV__not__empty__iff1_0,axiom,
    c_UNIV != c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUNIV__not__empty__iff1_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_X,c_Message_Oanalz(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_0_23,axiom,
    ( c_less(X1,X2,tc_set(X3))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OpsubsetI_0 ).

cnf(c_0_24,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    cls_Set_OsubsetI_1 ).

cnf(c_0_25,plain,
    ( X1 = X2
    | c_less(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_26,axiom,
    c_in(X1,c_UNIV,X2),
    cls_Set_OUNIV__I_0 ).

cnf(c_0_27,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    cls_Set_OpsubsetE_0 ).

cnf(c_0_28,plain,
    ( X1 = c_UNIV
    | c_less(X1,c_UNIV,tc_set(X2)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,axiom,
    ~ c_in(X1,c_emptyset,X2),
    cls_Set_OemptyE_0 ).

cnf(c_0_30,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)) ),
    cls_Set_OInterI_0 ).

cnf(c_0_31,plain,
    ( X1 = c_UNIV
    | ~ c_lessequals(c_UNIV,X1,tc_set(X2)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OlessThan(X3,X1),X1) ),
    cls_SetInterval_OlessThan__iff__iff1_0 ).

cnf(c_0_33,axiom,
    class_Orderings_Oord(tc_set(X1)),
    clsarity_set_1 ).

cnf(c_0_34,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_set(tc_Message_Omsg)) ),
    cls_Message_Oanalz__trans_0 ).

cnf(c_0_35,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OsubsetI_0 ).

cnf(c_0_36,axiom,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    cls_Relation_OImageI_0 ).

cnf(c_0_37,plain,
    c_in(X1,c_Inter(c_emptyset,X2),X2),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,plain,
    ( X1 = c_UNIV
    | ~ c_in(c_Main_OsubsetI__1(c_UNIV,X1,X2),X1,X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_24]) ).

cnf(c_0_39,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X2,c_SetInterval_OlessThan(X1,tc_set(X3)),tc_set(X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_32]),c_0_33])]) ).

cnf(c_0_40,plain,
    ( c_in(c_Main_OsubsetI__1(X1,c_Message_Oanalz(X2),tc_Message_Omsg),X1,tc_Message_Omsg)
    | c_in(X3,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    c_in(v_Y,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_0 ).

cnf(c_0_42,plain,
    ( c_in(X1,c_Relation_OImage(c_Inter(c_emptyset,tc_prod(X2,X3)),X4,X2,X3),X3)
    | ~ c_in(X5,X4,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,plain,
    c_Inter(c_emptyset,X1) = c_UNIV,
    inference(spm,[status(thm)],[c_0_38,c_0_37]) ).

cnf(c_0_44,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_ODiffI_0 ).

cnf(c_0_45,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    cls_Set_ODiffE_0 ).

cnf(c_0_46,plain,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | ~ c_in(X2,c_SetInterval_OlessThan(X1,tc_set(X3)),tc_set(X3)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_35]) ).

cnf(c_0_47,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    cls_Set_ODiffE_1 ).

cnf(c_0_48,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    cls_Set_Oempty__subsetI_0 ).

cnf(c_0_49,axiom,
    ( c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4)
    | ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    cls_Relation_OImageE_0 ).

cnf(c_0_50,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_34,c_0_24]) ).

cnf(c_0_51,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oanalz_OInj_0 ).

cnf(c_0_52,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_OinsertE_0 ).

cnf(c_0_53,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_in(v_Y,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_54,plain,
    ( c_in(X1,c_Relation_OImage(c_UNIV,X2,X3,X4),X4)
    | ~ c_in(X5,X2,X3) ),
    inference(rw,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_55,negated_conjecture,
    ( c_in(v_Y,c_minus(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X1,tc_set(tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(v_Y,X1,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_44,c_0_41]) ).

cnf(c_0_56,plain,
    ( ~ c_in(X1,c_SetInterval_OlessThan(c_minus(X2,X3,tc_set(X4)),tc_set(X4)),tc_set(X4))
    | ~ c_in(c_Main_OsubsetI__1(c_minus(X2,X3,tc_set(X4)),X1,X4),X3,X4) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_57,plain,
    ( c_in(c_Main_OsubsetI__1(c_minus(X1,X2,tc_set(X3)),X4,X3),X1,X3)
    | ~ c_in(X4,c_SetInterval_OlessThan(c_minus(X1,X2,tc_set(X3)),tc_set(X3)),tc_set(X3)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_46]) ).

cnf(c_0_58,axiom,
    ( c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_SetInterval_OlessThan__iff__iff2_0 ).

cnf(c_0_59,plain,
    ( c_emptyset = X1
    | c_less(c_emptyset,X1,tc_set(X2)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_48]) ).

cnf(c_0_60,plain,
    ( c_in(c_Main_OImageE__1(X1,c_Main_OsubsetI__1(c_Relation_OImage(X2,X1,X3,X4),X5,X4),X2,X3,X4),X1,X3)
    | ~ c_in(X5,c_SetInterval_OlessThan(c_Relation_OImage(X2,X1,X3,X4),tc_set(X4)),tc_set(X4)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_46]) ).

cnf(c_0_61,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Oanalz(X2),tc_Message_Omsg),X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_62,negated_conjecture,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg) = v_X
    | c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg),v_H,tc_Message_Omsg)
    | c_in(v_Y,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    ~ c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_64,negated_conjecture,
    ( c_in(X1,c_Relation_OImage(c_UNIV,c_minus(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X2,tc_set(tc_Message_Omsg)),tc_Message_Omsg,X3),X3)
    | c_in(v_Y,X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_65,plain,
    ~ c_in(X1,c_SetInterval_OlessThan(c_minus(X2,X2,tc_set(X3)),tc_set(X3)),tc_set(X3)),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_66,plain,
    ( c_emptyset = X1
    | c_in(c_emptyset,c_SetInterval_OlessThan(X1,tc_set(X2)),tc_set(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_33])]) ).

cnf(c_0_67,plain,
    ~ c_in(X1,c_SetInterval_OlessThan(c_Relation_OImage(X2,c_emptyset,X3,X4),tc_set(X4)),tc_set(X4)),
    inference(spm,[status(thm)],[c_0_29,c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg) = v_X
    | c_in(X1,c_Message_Oanalz(v_H),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).

cnf(c_0_69,negated_conjecture,
    ( c_Relation_OImage(c_UNIV,c_minus(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X1,tc_set(tc_Message_Omsg)),tc_Message_Omsg,X2) = c_UNIV
    | c_in(v_Y,X1,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_38,c_0_64]) ).

cnf(c_0_70,plain,
    c_minus(X1,X1,tc_set(X2)) = c_emptyset,
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_71,plain,
    c_Relation_OImage(X1,c_emptyset,X2,X3) = c_emptyset,
    inference(spm,[status(thm)],[c_0_67,c_0_66]) ).

cnf(c_0_72,axiom,
    c_UNIV != c_emptyset,
    cls_Set_OUNIV__not__empty__iff1_0 ).

cnf(c_0_73,negated_conjecture,
    c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg) = v_X,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]),c_0_63]),c_0_72]) ).

cnf(c_0_74,negated_conjecture,
    c_in(v_X,c_Message_Oanalz(v_H),tc_Message_Omsg),
    cls_conjecture_1 ).

cnf(c_0_75,negated_conjecture,
    ( c_in(X1,c_Message_Oanalz(v_H),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_73]),c_0_74])]) ).

cnf(c_0_76,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_69]),c_0_70]),c_0_71]),c_0_63]),c_0_72]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : SWV241-1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.06  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24  % Computer : n024.cluster.edu
% 0.06/0.24  % Model    : x86_64 x86_64
% 0.06/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24  % Memory   : 8042.1875MB
% 0.06/0.24  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24  % CPULimit   : 300
% 0.06/0.24  % WCLimit    : 300
% 0.06/0.24  % DateTime   : Mon May  4 23:59:11 EDT 2026
% 0.06/0.24  % CPUTime    : 
% 0.06/0.24  % start to proof: theBenchmark
% 184.84/138.34  % Version  : CSE_E---1.7
% 184.84/138.34  % Problem  : theBenchmark.p
% 184.84/138.34  % SZS status Unsatisfiable for theBenchmark.p
% 184.84/138.34  % SZS output start CNFRefutation
% See solution above
% 185.23/138.78  % Total time : 120.193s
%------------------------------------------------------------------------------